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1980 Canada National Olympiad
3
3
Part of
1980 Canada National Olympiad
Problems
(1)
Least perimeter of a triangle given an angle and inradius
Source: Canadian Mathematical Olympiad - 1980 - Problem 3.
5/16/2011
Among all triangles having (i) a fixed angle
A
A
A
and (ii) an inscribed circle of fixed radius
r
r
r
, determine which triangle has the least minimum perimeter.
geometry
perimeter
inradius
geometry proposed